Snaking of radial solutions of the multi-dimensional Swift-Hohenberg equation: A numerical study

被引：52
作者：
McCalla, Scott [1 ]
Sandstede, Bjoern [1 ]
机构：
[1] Brown Univ, Div Appl Math, Providence, RI 02912 USA
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2010年 / 239卷 / 16期
基金：
美国国家科学基金会;
关键词：
Swift-Hohenberg equation; Radial localized structures; Snaking; LOCALIZED STRUCTURES; PATTERNS; LADDERS; SNAKES;
D O I：
10.1016/j.physd.2010.04.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The bifurcation structure of localized stationary radial patterns of the Swift-Hohenberg equation is explored when a continuous parameter n is varied that corresponds to the underlying space dimension whenever n is an integer. In particular, we investigate howl D pulses and 2-pulses are connected to planar spots and rings when n is increased from 1 to 2. We also elucidate changes in the snaking diagrams of spots when the dimension is switched from 2 to 3. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：1581 / 1592
页数：12
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